The Complement of Polyhedral Product Spaces and the Dual Simplicial Complexes

In this paper, we define and prove basic properties of complement polyhedral product spaces, dual complexes and polyhedral product complexes. Then we compute the universal algebra of polyhedral product complexes under certain split conditions and the Alexander duality isomorphism on certain polyhedr...

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Bibliographic Details
Published in:arXiv.org 2017-04
Main Author: Zheng, Qibing
Format: Article
Language:English
Subjects:
Isomorphism
Online Access:Get full text
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Summary:In this paper, we define and prove basic properties of complement polyhedral product spaces, dual complexes and polyhedral product complexes. Then we compute the universal algebra of polyhedral product complexes under certain split conditions and the Alexander duality isomorphism on certain polyhedral product spaces.
ISSN:2331-8422